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Hierarchical Bayesian analysis of the carryover effect in two-period crossover designs

✍ Scribed by S.R. David; J.W. Seaman Jr.

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
809 KB
Volume
36
Category
Article
ISSN
0895-7177

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✦ Synopsis

In this paper, hierarchical

Bayesian methods for the analysis of crossover designs are developed.

First, we consider two hierarchical prior structures yielding posterior quantities that can be obtained via numerical integration. We illustrate this method with an analysis of two well-known data sets. Then we consider more flexible prior structures and a corresponding Markov chain Monte Carlo analysis of the resulting posterior distribution.

We illustrate this method using data from a study conducted at Eli Lilly and Company. Throughout, we concentrate on inferences involving the carryover effect.

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In the analysis of a two-period cro88over study GBIZZLE (1965) suggeata that, if a preliminary k t for a period by treatment inbraction (residual effeot, carryover effect) fsignificant at the 10 o/o level, the direct effects of the treatments should be compared by performix$ a t -h t on the data fro